NON-HERMITIAN DELOCALIZATION AND EIGENFUNCTIONS

Recent Literature on delocalization in non-Hermitian systems has stres sed criteria based on sensitivity of eigenvalues to boundary condition s and the existence of a nonzero current. We emphasize here that deloc alization also shows up clearly in eigenfunctions, provided one studie s the product of left and right eigenfunctions, as required on physica l grounds, and not simply the squared modulii of the eigenfunctions th emselves. We also discuss the right and left eigenfunctions of the gro und state in the delocalized regime and suggest that the behavior of t hese functions, when considered separately, may be viewed as ''interme diate'' between localized and delocalized.